The diagonal of the tv screen is given by:
d = root ((w) ^ 2 + (h) ^ 2)
Where,
w: width
h: height
In addition we have the following relationship:
h / w = 8/15
Thus,
For the width:
d = root ((w) ^ 2 + ((8/15) w) ^ 2)
For the high:
d = root (((15/8) h) ^ 2 + (h) ^ 2)
Answer:
The expressions for the width and height of a wide-screen tv in terms of the length of its diagonal are:
d = root ((w) ^ 2 + ((8/15) w) ^ 2)
d = root (((15/8) h) ^ 2 + (h) ^ 2)
This ODE has characteristic equation
which has roots at 
. Then the characteristic solution to the ODE is
Answer:
b
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
Volume of a cube is length * width * height. Because it's a cube, all of these lengths are the same measurement so rather than doing V = l*w*h, we can do one of the measurements cubed, let's call it x.
So Volume = x³. So if we are given the volume, we can the length by doing the cube root.
∛125 = 5
∛216 = 6
Surface area of a cube = 6x². So now we plug both of these measurements into the formula.
For 5:
SA = 6(5)² = 6(25) = 150
For 6:
SA = 6(6)² = 6(36) = 216
The ratio of their surface areas is 150:216 or if you simplify it by dividing both by the GCF of 6, 25:36
